Total worldwide annual energy production is roughly 14.8 billion tons of oil equivalent (TOE).
Dividing the two and solving for days, we're "nuking the Arctic" (and the rest of the planet) roughly every 10 days, or in actuality, probably about half of that. Call it weekly in very rough numbers.
This mostly goes to show that 1) we're consuming energy at extremely prodigious rates and 2) the rate of energy release matters. The energy released in even a large nuclear explosion is typically a few hours of energy output of a large (1--2 GW) power plant. Form of energy release also matters, with nuclear weapons releasing heat, blast, and longer-term radiation, each of which has its own destructive potential on structures, people, and the larger environment. Primary energy production largely produces heat and combustion products, by contrast.
Sources:
- Global nuclear arsenal: <https://ourworldindata.org/grapher/estimated-megatons-of-nuc...>
- Global energy consumption: <https://en.wikipedia.org/wiki/World_energy_supply_and_consum...>
https://worldbuilding.stackexchange.com/questions/64637/nuki...